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A Game Model of Optimal Apartment Cleaning by College Students

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  • Batabyal, Amitrajeet

Abstract

In this note we use a static game model to analyze the optimal cleanup of an apartment that is shared by two college students. Both students dislike cleaning. However, they also prefer a clean apartment to a dirty one. Student i's utility function embodies the idea that the more time one student spends cleaning, the less valuable is the time spent cleaning by the other student. In this setting, we first determine the best response function of each student (player) i where i=1,2. Second, we determine the cleaning time choices that survive one round of the iterated elimination of strictly dominated strategies (IESDS). Finally, we ascertain the cleaning time choices that survive all rounds of IESDS.

Suggested Citation

  • Batabyal, Amitrajeet, 2017. "A Game Model of Optimal Apartment Cleaning by College Students," MPRA Paper 76663, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:76663
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    File URL: https://mpra.ub.uni-muenchen.de/76663/1/MPRA_paper_76663.pdf
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    More about this item

    Keywords

    Apartment; Cleanup; College Student; Static Game; Strictly Dominated Strategy;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply

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